Advanced Computer Algebra for Determinants

Macdonald’s conjecture and descending plane partitions

George E. Andrews · 1980

Earlier work this paper cites.

A baker’s dozen of conjectures concerning plane partitions

Richard Stanley · 1986

Earlier work this paper cites.

A holonomic systems approach to special functions identities

Doron Zeilberger · 1990

Earlier work this paper cites.

Reverend Charles to the aid of Major Percy and Fields-medalist Enrico

Doron Zeilberger · 1996

Earlier work this paper cites.

Fonctions holonomes en calcul formel

Frédéric Chyzak · 1998

Earlier work this paper cites.

Advanced determinant calculus

Christian Krattenthaler · 1999

Earlier work this paper cites.

Determinants through the looking glass

Tewodros Amdeberhan and Doron Zeilberger · 2001

Cited alongside, same era.

Enumeration of lozenge tilings of hexagons with a central triangular hole

Mihai Ciucu, Theresia Eisenkölbl, Christian Krattenthaler, and Douglas Zare · 2001

Cited alongside, same era.

Advanced determinant calculus: A complement

Christian Krattenthaler · 2005

Cited alongside, same era.

The generating functions of ternary trees and continued fractions

Ira Gessel and Guoce Xin · 2006

Cited alongside, same era.

The Holonomic Ansatz II. Automatic Discovery(!) and Proof(!!) of Holonomic Determinant Evaluations

Doron Zeilberger · 2007

Cited alongside, same era.

Guessing handbook

Manuel Kauers · 2009

Cited alongside, same era.

Advanced Applications of the Holonomic Systems Approach

Christoph Koutschan · 2009

Later among the works it cites.

HolonomicFunctions (User’s Guide)

Christoph Koutschan · 2010

Later among the works it cites.

Proof of George Andrews’s and David Robbins’s q q -TSPP conjecture

Christoph Koutschan, Manuel Kauers, and Doron Zeilberger · 2011

Closest in time.

Electronic supplementary material to the article “Advanced Computer Algebra for Determinants”, 2011

Christoph Koutschan and Thotsaporn Thanatipanonda · 2011

Closest in time.

Zeilberger’s holonomic ansatz for Pfaffians

Masao Ishikawa and Christoph Koutschan · 2012

Closest in time.